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The basicL module for the L component

Source: R/aquatic-L-basicL.R
basicL.Rd

A basic model of aquatic mosquito ecology with density-dependent mortality and delayed maturation, based on Smith DL, et al. (2013).

State Variables

L

density of mosquito larvae in each habitat

Parameters

psi

maturation rate (\(\psi\))

xi

delayed maturation parameter in response to mean crowding (\(\xi\))

phi

density-independent death rate (\(\phi\))

theta

slope of density-dependent mortality (\(\theta\))

Egg Laying

eta

the egg laying rate, (\(\eta\))

Dynamics

$$dL/dt = \eta - (\psi e^{-\xi L} + \phi + \theta L) L$$

Emergence

The emergence rate of adult, female mosquitoes from each patch is: $$\alpha = \psi e^{-\xi L} L$$

Notes

Setting \(\xi = 0\) recovers the model of Smith DL, et al. (2013).

References

Smith DL, Perkins TA, Tusting LS, Scott TW, Lindsay SW (2013) Mosquito Population Regulation and Larval Source Management in Heterogeneous Environments. PLOS ONE 8(8): e71247. https://doi.org/10.1371/journal.pone.0071247.